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Finding the Fourth Proportional to 379,611.06, 523,842.71 and 209,834.25

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Solution

The fourth proportional to 379,611.06, 523,842.71 and 209,834.25 is: 289,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,611.06 : 523,842.71 = 209,834.25 : x
  2. Step 2: Convert to fraction form
    379,611.06/523,842.71 = 209,834.25/x
  3. Step 3: Cross multiply
    379,611.06x = 523,842.71 × 209,834.25
  4. Step 4: Simplify right side
    379,611.06x = 109,920,141,121.65
  5. Step 5: Solve for x
    x = 109,920,141,121.65/379,611.06
  6. Step 6: Final answer
    x = 289,559.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.